| Base | Representation |
|---|---|
| bin | 101111000110000000… |
| … | …0111101110001111100 |
| 3 | 100200001011011111210220 |
| 4 | 1132030000331301330 |
| 5 | 3124110111423400 |
| 6 | 114243205501340 |
| 7 | 10210114650333 |
| oct | 1361400756174 |
| 9 | 320034144726 |
| 10 | 101133311100 |
| 11 | 39988132548 |
| 12 | 17725411850 |
| 13 | 96c9554523 |
| 14 | 4c75790d1a |
| 15 | 296d9a07a0 |
| hex | 178c03dc7c |
101133311100 has 144 divisors (see below), whose sum is σ = 309966598368. Its totient is φ = 25370869760.
The previous prime is 101133311039. The next prime is 101133311107. The reversal of 101133311100 is 1113331101.
It is a super-2 number, since 2×1011333111002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 101133311100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101133311107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18750004 + ... + 18755396.
It is an arithmetic number, because the mean of its divisors is an integer number (2152545822).
Almost surely, 2101133311100 is an apocalyptic number.
101133311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101133311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154983299184).
101133311100 is an abundant number, since it is smaller than the sum of its proper divisors (208833287268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101133311100 is a wasteful number, since it uses less digits than its factorization.
101133311100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9104 (or 9097 counting only the distinct ones).
The product of its (nonzero) digits is 27, while the sum is 15.
Adding to 101133311100 its reverse (1113331101), we get a palindrome (102246642201).
The spelling of 101133311100 in words is "one hundred one billion, one hundred thirty-three million, three hundred eleven thousand, one hundred".
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